Midsegment Theorem

What name best describes the green dots? What is the relationship between the green dots and the red lines?

The red lines are called midsegments. In your own words, define what a midsegment is.

Divide side by the opposite midsegment like so: , , . What ratio did you get for each one? What can you conclude about the sides and the midsegments?

Using the orange angles, what can you conclude about side b and midsegment h?

Using the purple angles, what can you conclude about side a and midsegment f?

Using the blue angles, what can you conclude about side c and midsegment g?

Based on both explorations, what can you conclude are the properties of midsegments in triangles?